Search a number
-
+
133526026551216 = 24313241939284747
BaseRepresentation
bin11110010111000011110011…
…011000010111111110110000
3122111202222000101001001210210
4132113003303120113332300
5120000142300244114331
61151553002040024120
740060636261653255
oct3627036330277660
9574688011031723
10133526026551216
1139600084a76562
1212b862a4162040
1359675b1341800
1424d89a0b2142c
1510684b97bb446
hex7970f3617fb0

133526026551216 has 120 divisors (see below), whose sum is σ = 374408790678720. Its totient is φ = 40986875474688.

The previous prime is 133526026551167. The next prime is 133526026551271. The reversal of 133526026551216 is 612155620625331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16243446 + ... + 23041301.

It is an arithmetic number, because the mean of its divisors is an integer number (3120073255656).

Almost surely, 2133526026551216 is an apocalyptic number.

133526026551216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133526026551216 is an abundant number, since it is smaller than the sum of its proper divisors (240882764127504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133526026551216 is a wasteful number, since it uses less digits than its factorization.

133526026551216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39285203 (or 39285184 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 133526026551216 in words is "one hundred thirty-three trillion, five hundred twenty-six billion, twenty-six million, five hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 419 507 624 676 838 1014 1257 1352 1676 2028 2514 2704 3352 4056 5028 5447 6704 8112 10056 10894 16341 20112 21788 32682 43576 65364 70811 87152 130728 141622 212433 261456 283244 424866 566488 849732 1132976 1699464 3398928 39284747 78569494 117854241 157138988 235708482 314277976 471416964 510701711 628555952 942833928 1021403422 1532105133 1885667856 2042806844 3064210266 4085613688 6128420532 6639122243 8171227376 12256841064 13278244486 16460308993 19917366729 24513682128 26556488972 32920617986 39834733458 49380926979 53112977944 65841235972 79669466916 98761853958 106225955888 131682471944 159338933832 197523707916 213984016909 263364943888 318677867664 395047415832 427968033818 641952050727 790094831664 855936067636 1283904101454 1711872135272 2567808202908 2781792219817 3423744270544 5135616405816 5563584439634 8345376659451 10271232811632 11127168879268 16690753318902 22254337758536 33381506637804 44508675517072 66763013275608 133526026551216